495754697168640 has 10368 divisors, whose sum is σ = 2564246755123200. Its totient is φ = 89734313410560.

The previous prime is 495754697168611. The next prime is 495754697168681. The reversal of 495754697168640 is 46861796457594.

495754697168640 is a `hidden beast` number, since 4 + 9 + 5 + 7 + 5 + 469 + 71 + 6 + 86 + 4 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 495754697168640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 2865634087594 + ... + 2865634087766.

It is an arithmetic number, because the mean of its divisors is an integer number (247323182400).

Almost surely, 2^{495754697168640} is an apocalyptic number.

495754697168640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495754697168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282123377561600).

495754697168640 is an abundant number, since it is smaller than the sum of its proper divisors (2068492057954560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

495754697168640 is a wasteful number, since it uses less digits than its factorization.

495754697168640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 10973491200, while the sum is 81.

The spelling of 495754697168640 in words is "four hundred ninety-five trillion, seven hundred fifty-four billion, six hundred ninety-seven million, one hundred sixty-eight thousand, six hundred forty".